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Finding the Fourth Proportional to 558.69, 838.71 and 512.22

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Solution

The fourth proportional to 558.69, 838.71 and 512.22 is: 768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.69 : 838.71 = 512.22 : x
  2. Step 2: Convert to fraction form
    558.69/838.71 = 512.22/x
  3. Step 3: Cross multiply
    558.69x = 838.71 × 512.22
  4. Step 4: Simplify right side
    558.69x = 429,604.04
  5. Step 5: Solve for x
    x = 429,604.04/558.69
  6. Step 6: Final answer
    x = 768.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.